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Journal of the Optical Society of America A

Minimizing and maximizing the joint space-spatial frequency uncertainty of Gabor-like functions: comment

Stanley A. Klein, Brent R. Beutter

Published Feb 1, 1992• 23 citations
Publisher

Abstract

We dispute the claim that Hermite functions (similar to derivatives of Gaussians) minimize a joint uncertainty relation in space and spatial frequency. These functions are found to maximize rather than minimize the uncertainty of the class of functions consisting of an mth-order polynomial times a Gaussian.
DOI
10.1364/josaa.9.000337

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